finite affine groups are given by groups of translations and di-lations on finite cyclic groups. for cyclic groups of prime orderwe develop a time-scale (wavelet) analysis and show that for alarge class of non-zero window signals/vectors, the generatedfull cyclic wavelet system constitutes a frame whose canonicaldual is a cyclic wavelet frame.

let $r$ be an associative ring with identity and $z^*(r)$ be its set of non-zero zero divisors.  the zero-divisor graph of $r$, denoted by $gamma(r)$, is the graph whose vertices are the non-zero  zero-divisors of  $r$, and two distinct vertices $r$ and $s$ are adjacent if and only if $rs=0$ or $sr=0$.  in this paper, we bring some results about undirected zero-divisor graph of a monoid ring ov...

iron (in zero-valent and oxide forms) is used to remove numerous organic and inorganic contaminants in environment. however, there are few reports, especially in nano scale, on the remediation of heavy metals contaminated soils using zero-valent iron in the literature. in this study, the effect of iron on the availability of heavy metals was evaluated in a calcareous soil spiked with cadmium, z...

Zero Tillage (ZT) is a critical agricultural practice that emphasizes minimal soil disturbance. This study explores the future prospects of ZT, focusing on three essential dimensions: technological advancements, climate change considerations, and potential growth in adoption rates. The innovations precision agriculture, robotics, artificial intelligence, biotechnology are found to play pivotal ...

Let R be a non-domain commutative ring with identity and A(R) be theset of non-zero ideals with non-zero annihilators. We call an ideal I of R, anannihilating-ideal if there exists a non-zero ideal J of R such that IJ = (0).The annihilating-ideal graph of R is defined as the graph AG(R) with the vertexset A(R) and two distinct vertices I and J are adjacent if and only if IJ =(0). In this paper,...

to evaluate the effect of application of municipal solid waste compost (mswc) on the accumulation of heavy metals of lead, nickel and cadmium in the soil under maize cultivation, a factorial experiment in base randomized complete block design (rcbd) with four different amounts of municipal solid waste compost (zero, 15, 30 and 60 tons ha-1) and time (compost applied once or twice) was performed...

Childhood lead poisoning in the United States remains a persistent, prevalent environmental public health problem, especially for children living in central-city neighborhoods. These neighborhoods typically are racially segregated, are in proximity to current and/or legacy lead emission sources, consist of older housing, and contain disproportionately African American or black children of low-i...